205313438331 has 12 divisors (see below), whose sum is σ = 301425558720. Its totient is φ = 134631762480.

The previous prime is 205313438287. The next prime is 205313438347. The reversal of 205313438331 is 133834313502.

205313438331 is a `hidden beast` number, since 2 + 0 + 5 + 313 + 4 + 3 + 8 + 331 = 666.

It is not a de Polignac number, because 205313438331 - 2²⁵ = 205279883899 is a prime.

It is a super-2 number, since 2×205313438331² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205313438731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186988011 + ... + 186989108.

It is an arithmetic number, because the mean of its divisors is an integer number (25118796560).

Almost surely, 2^205313438331 is an apocalyptic number.

205313438331 is a deficient number, since it is larger than the sum of its proper divisors (96112120389).

205313438331 is a wasteful number, since it uses less digits than its factorization.

205313438331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373977186 (or 373977183 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 205313438331 in words is "two hundred five billion, three hundred thirteen million, four hundred thirty-eight thousand, three hundred thirty-one".